[PDF] Top 20 Implicitization of rational algebraic surfaces with syzygy-based methods
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Implicitization of rational algebraic surfaces with syzygy-based methods
... 13 Rational algebraic curves and surfaces can be described in several dif- ferent ways, the most common being parametric and implicit represen- ...image of a rational map, whereas ... Voir le document complet
105
On the closed image of a rational map and the implicitization problem
... field of computer aided geometric ...autointersection of offsets and drafts, or computing the intersection with parameterized curves or ...the implicitization problem has been widely studied ... Voir le document complet
50
Implicitization of rational ruled surfaces with μ-bases
... basis of planar rational ...algebra with a view toward algebraic geome- try. Vol. 150 of Graduate Texts in ...intersection of two ruled surfaces. In: Proc. of ... Voir le document complet
16
Matrix-based implicit representations of algebraic curves and surfaces and applications
... representations of algebraic curves and surfaces and applications ...representation of rational curves of arbitrary dimensions and propose an implicit representation of ... Voir le document complet
109
Implicitization of Bihomogeneous Parametrizations of Algebraic Surfaces via Linear Syzygies
... Syzygy-based methods - also known as “moving surfaces” methods - were introduced in [13] and have been further developed in a number of ...case of curves, these ... Voir le document complet
19
Simultaneous Rational Function Reconstruction and applications to Algebraic Coding Theory
... concerned with the problem of a communication over a noisy channel that can introduce some errors, corrupting the transmitted ...kind of electronic communication device as cellular telephones, deep ... Voir le document complet
153
Regularity criteria for the topology of algebraic curves and surfaces
... topology of the curve or the surface lying in the domain can be determined ...type of approach has usually dif- ficulties when singular points exists in the domain, which make the regularity test failing ... Voir le document complet
29
Algebraic curves, rich points, and doubly-ruled surfaces
... collection of n lines in R 3 and any ǫ > 0, there are O ǫ (n 3/2+ǫ ) points that are incident to two or more lines, provided at most n 1/2−ǫ lines lie in any algebraic surface of degree O ǫ ... Voir le document complet
35
Algebraic methods in pseudorandomness and circuit complexity
... Moreover, [Johil] proves exactly matching upper and lower bounds on any real polynomial that represents the recursive Fourier sampling problem on its promise, there[r] ... Voir le document complet
97
Robust algebraic methods for geometric computing
... algorithm of univariate poly- ...coefficients of a multivariate polynomial represented in the Bernstein basis and in a tensor- monomial basis, which leads to homography representations of polynomial ... Voir le document complet
127
Algebraic methods in randomness and pseudorandomness
... Inl Chapter 2, we iltrochice some basic tools and results oil Polynomial and their zeroes, pl)oi which the remaining ciapters will build. In Chapter 4, we give explic[r] ... Voir le document complet
188
Rational approximations to ${\@root 3 \of {2}}$ and other algebraic numbers revisited
... computer with an Intel P4 CPU running at 1.8 GHz with 256 MB of ...Many of these computations were also checked by hand, using MAPLE, PARI/GP and ... Voir le document complet
27
Implicit matrix representations of rational Bézier curves and surfaces
... representation of rational B´ ezier curves and surfaces in the 3-dimensional ...consists of a matrix whose entries depend on the space variables and whose rank drops exactly on this curve or ... Voir le document complet
13
On the equations of the moving curve ideal of a rational algebraic plane curve
... determination of the equations of the moving curve ideal, that is to say on the computation of a system of generators as an ideal in K [X 1 , X 2 ][T 1 , T 2 , T 3 ...mination of the ... Voir le document complet
29
Differential approach for the study of duals of algebraic-geometric codes on surfaces
... class of X. Therefore, the study of duals of functional codes on curves is equivalent to the study of functional ...Most of the literature on the topic concerns the estimation of ... Voir le document complet
27
Iterative Methods for Visualization of Implicit Surfaces on GPU
... quartics with a scalable ...example of target use. Among possible implicit surfaces of third and fourth degree, torus is the one with the most useful ...85% of industrial objects ... Voir le document complet
12
Torsion of the symmetric algebra and implicitization
... indeg(J). If indeg(I X ) = d, J d = (I X ) d implies that J d = I d , which in turn shows that λ factors through a rational map to P n−2 k , contradicting the assumption that the closed image of λ has ... Voir le document complet
12
Comparison of parametric methods for modeling corneal surfaces
... anterior surfaces have a great variation among ...shape of cornea (anterior surface) becomes more ...shape of cornea (anterior surface) becomes more flat or more ...variance of corneal shape ... Voir le document complet
13
Algebraic methods in random matrices and enumerative geometry
... some of the real cuts have merged and created imag- inary cuts linking two non-physical ...points of the spectral ...some of them merge, i.e. two of the disjoints segments supporting the ... Voir le document complet
141
Quadratic rational functions with a rational periodic critical point of period $3$
... track of the points at infinity modulo p and of what happens at the singular points (and some care has to be taken at the bad ...factors of E, we obtain within a few hours the relevant coefficients ... Voir le document complet
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